Base | Representation |
---|---|
bin | 1100011111100000… |
… | …10100100000001100 |
3 | 122022101222112011221 |
4 | 12033300110200030 |
5 | 102213413313301 |
6 | 3025301253124 |
7 | 325125441010 |
oct | 61760244014 |
9 | 18271875157 |
10 | 6706776076 |
11 | 2931889150 |
12 | 13721041a4 |
13 | 82b63b470 |
14 | 478a2c540 |
15 | 293be7da1 |
hex | 18fc1480c |
6706776076 has 96 divisors (see below), whose sum is σ = 15818084352. Its totient is φ = 2402922240.
The previous prime is 6706776059. The next prime is 6706776079.
6706776076 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (52).
It is not an unprimeable number, because it can be changed into a prime (6706776079) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106085 + ... + 1112131.
It is an arithmetic number, because the mean of its divisors is an integer number (164771712).
Almost surely, 26706776076 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 6706776076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7909042176).
6706776076 is an abundant number, since it is smaller than the sum of its proper divisors (9111308276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6706776076 is a wasteful number, since it uses less digits than its factorization.
6706776076 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6359 (or 6357 counting only the distinct ones).
The product of its (nonzero) digits is 3111696, while the sum is 52.
The square root of 6706776076 is about 81894.9087306409. The cubic root of 6706776076 is about 1885.8389533620.
The spelling of 6706776076 in words is "six billion, seven hundred six million, seven hundred seventy-six thousand, seventy-six".
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